Some remarks on the propagation and non-propagation of discontinuities in linearly viscoelastic liquids |
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| Authors: | M. Renardy |
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| Affiliation: | (1) Department of Aerospace Engineering and Mechanics, The University of Minnesota, 110 Union Street S.E., 55455 Minneapolis, MN, USA |
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| Abstract: | The equations of linear viscoelasticity with a bounded memory kernel have been shown to propagate singularities in a similar way as hyperbolic equations. In this paper, we investigate a model problem for a certain class of unbounded memory kernels. It is shown thatC -solutions are obtained, although there is a discontinuity in the boundary conditions. |
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| Keywords: | Linear viscoelasticity propagation of singularities Laplace transform |
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